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20000102022012 = 2237285749937949
BaseRepresentation
bin1001000110000101000101…
…11110011111101101111100
32121210222202111102202112210
410203002202332133231330
510110140202104201022
6110311530420500420
74132650113135100
oct443024276375574
977728674382483
1020000102022012
116410aa520a752
1222b01a184a710
13b210034849a8
144d201da17900
1524a3adcd9a0c
hex1230a2f9fb7c

20000102022012 has 144 divisors (see below), whose sum is σ = 54367059146400. Its totient is φ = 5705786032128.

The previous prime is 20000102021983. The next prime is 20000102022023. The reversal of 20000102022012 is 21022020100002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516048614 + ... + 2516056562.

It is an arithmetic number, because the mean of its divisors is an integer number (377549021850).

Almost surely, 220000102022012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000102022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27183529573200).

20000102022012 is an abundant number, since it is smaller than the sum of its proper divisors (34366957124388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20000102022012 is a wasteful number, since it uses less digits than its factorization.

20000102022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20000102022012 its reverse (21022020100002), we get a palindrome (41022122122014).

The spelling of 20000102022012 in words is "twenty trillion, one hundred two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 857 1714 2571 3428 4993 5142 5999 7949 9986 10284 11998 14979 15898 17997 19972 23847 23996 29958 31796 34951 35994 41993 47694 55643 59916 69902 71988 83986 95388 104853 111286 125979 139804 166929 167972 209706 222572 244657 251958 333858 389501 419412 489314 503916 667716 733971 779002 978628 1168503 1467942 1558004 2337006 2935884 4279001 4674012 6812293 8558002 12837003 13624586 17116004 20436879 25674006 27249172 29953007 39689357 40873758 47686051 51348012 59906014 79378714 81747516 89859021 95372102 119068071 119812028 143058153 158757428 179718042 190744204 209671049 238136142 277825499 286116306 333802357 359436084 419342098 476272284 555650998 572232612 629013147 667604714 833476497 838684196 1001407071 1111301996 1258026294 1335209428 1666952994 1944778493 2002814142 2516052588 3333905988 3889556986 4005628284 5834335479 7779113972 11668670958 23337341916 34013778949 68027557898 102041336847 136055115796 204082673694 238096452643 408165347388 476192905286 714289357929 952385810572 1428578715858 1666675168501 2857157431716 3333350337002 5000025505503 6666700674004 10000051011006 20000102022012